Question

1. A survey of magazine subscribers showed that 45.8% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons, and 30% rented a car during the past 12 month for both business and personal reasons.

(a) (3 points) What is the probability that a subscriber rented a car during the past 12 months for business or personal reasons?

(b) (1 points) What is the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons?

Answer 1

let us define the events:-

A : a subscriber rent a car during the past 12 months for business reasons.

B : a subscriber rent a car during the past 12 months for personal reasons.

the given data are:-

[ this is the probability that a subscriber rented a car during the past 12 month for both business and personal reason ]

a).the probability that a subscriber rented a car during the past 12 months for business or personal reasons be:-

b).the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons be:-

[ this is nothing but the complement of the event in part a]

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